13 693 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
266493167	9	28.0	old
268362024234629264841383	24	77.8	2008-08-29 02:24:33
8365420821400938111815102833	28	92.8	2010-06-18 21:11:23

P-1 factors

Date	Factors	B1	B2
2024-01-29	No new factors discovered	100000000000	122154521813133808

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1525 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^131 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	1909ACCC4057A04D	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	1909ACCC4057A04D	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	1909ACCC4057A04D	3	6621	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	BA197B225F00DD73	3	11715	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	BA197B225F00DD73	3	9392	5	3

History

Date	User	Type	Result
2025-02-23	masser	NF-PP1	Start=193/17, B1=430000000, B2=429570000000
2025-02-10	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-25	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13693/266493167/268362024234629264841383/8365420821400938111815102833 : BA197B225F00DD73
2024-01-29	-anonymous-	F-PM1	Factor: 8365420821400938111815102833 / B1=100000000000, B2=122154521813133810
2023-05-20	JacobZ	NF-PM1	B1=8000000000, B2=35524619698317750
2023-02-11	USAFSS	NF-PM1	B1=6000000, B2=587625088050
2022-02-06	ANONYMOUS	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M13693/266493167/268362024234629264841383/8365420821400938111815102833 : BA197B225F00DD73
2017-12-07	ATH	C-PRP	M13693/266493167/268362024234629264841383/8365420821400938111815102833 : 1909ACCC4057A04D
2017-10-02	kkmrkkblmbrbk	C-PRP	M13693/266493167/268362024234629264841383/8365420821400938111815102833 : 1909ACCC4057A04D
2017-09-21	Oliver Kruse	C-PRP	M13693/266493167/268362024234629264841383/8365420821400938111815102833 : 1909ACCC4057A04D
2010-06-18	James Hintz	F-ECM	Factor: 8365420821400938111815102833
2008-08-29	-anonymous-	F-ECM	Factor: 268362024234629264841383